With a 96.2 percentile and a rank of 57,486 in JEE Mains, here are some college options you might be able to consider:

1. Government Colleges (GFTIs and State Engineering Colleges):

GFTIs (Government Funded Technical Institutes): Some newer GFTIs might have a lower cutoff for admissions.

State Colleges: Apply through state-level exams or quotas (e.g., MHT CET, WBJEE, UPSEE).

Other Engineering Colleges: Some government engineering colleges might accept your rank through state counseling or special rounds.

2. Private Colleges:

Private Colleges Accepting JEE Mains: Many private engineering colleges accept JEE Main scores and may have lower cutoffs, such as:

UPES Dehradun

VIT Bhopal

LPU (Lovely Professional University)

Shiv Nadar University

Bennett University

You might be able to get branches like Mechanical, Civil, or Electrical Engineering.

3. Other Options:

Spot Rounds or CSAB Counseling: These rounds can offer opportunities for admission in various colleges.